References

References

AS13

Milton Abramowitz and Irene A. Stegun, editors. Handbook of Mathematical Functions: With Formulas, Graphs, and Mathematical Tables. Dover Books on Mathematics. Dover Publ, New York, NY, 2013. ISBN 978-0-486-61272-0.

AMR95

U. M. Ascher, Robert M. M. Mattheij, and R. D. Russell. Numerical Solution of Boundary Value Problems for Ordinary Differential Equations. Number 13 in Classics in Applied Mathematics. Society for Industrial and Applied Mathematics, Philadelphia, 1995. ISBN 978-0-89871-354-1.

AP98

U. M. Ascher and Linda Ruth Petzold. Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations. Society for Industrial and Applied Mathematics, Philadelphia, 1998. ISBN 978-0-89871-412-8.

Atk89

Kendall E. Atkinson. An Introduction to Numerical Analysis. Wiley, New York, 2nd ed edition, 1989. ISBN 978-0-471-62489-9.

AH04

Kendall E. Atkinson and Weimin Han. Elementary Numerical Analysis. J. Wiley & Sons, Hoboken, NJ, 3rd ed edition, 2004. ISBN 978-0-471-43337-8.

AMVW15

Jared L. Aurentz, Thomas Mach, Raf Vandebril, and David S. Watkins. Fast and Backward Stable Computation of Roots of Polynomials. SIAM Journal on Matrix Analysis and Applications, 36(3):942–973, January 2015. doi:10.1137/140983434.

BE86

S. M. Baer and T. Erneux. Singular Hopf Bifurcation to Relaxation Oscillations. SIAM Journal on Applied Mathematics, 46(5):721–739, October 1986. doi:10.1137/0146047.

BJL05

David H. Bailey, Karthik Jeyabalan, and Xiaoye S. Li. A Comparison of Three High-Precision Quadrature Schemes. Experimental Mathematics, 14(3):317–329, January 2005. doi:10.1080/10586458.2005.10128931.

BM98

A. Berke and S. Mueller. The Kinetics of Lid Motion and its Effects on the Tear Film. In David A. Sullivan, Darlene A. Dartt, and Michele A. Meneray, editors, Lacrimal Gland, Tear Film, and Dry Eye Syndromes 2, volume 438, pages 417–424. Springer US, Boston, MA, 1998. doi:10.1007/978-1-4615-5359-5_58.

Bjorck96

Åke Björck. Numerical Methods for Least Squares Problems. SIAM, Philadelphia, 1996. ISBN 978-0-89871-360-2.

BCP96

Kathryn E. Brenan, S. L. Campbell, and Linda R. Petzold. Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations. Number 14 in Classics in Applied Mathematics. Society for Industrial and Applied Mathematics, Philadelphia, 1996. ISBN 978-0-89871-353-4.

Bri03

N. F. Britton. Essential Mathematical Biology. Springer Undergraduate Mathematics Series. Springer, London ; New York, 2003. ISBN 978-1-85233-536-6.

BWB+17

Joseph K Brosch, Ziwei Wu, Carolyn G Begley, Tobin A Driscoll, and Richard J Braun. Blink characterization using curve fitting and clustering algorithms. Journal for Modeling in Ophthalmology, 1(3):60–81, 2017.

BF01

Richard L. Burden and J. Douglas Faires. Numerical Analysis. Brooks/Cole, Australia ; Pacific Grove, CA, 7th ed edition, 2001. ISBN 978-0-534-38216-2.

CHQZ88

Claudio Canuto, M. Yousuff Hussaini, Alfio Quarteroni, and Thomas A Zang. Spectral Methods in Fluid Dynamics. Springer Berlin Heidelberg, Berlin, Heidelberg, 1988. ISBN 978-3-642-84108-8 978-3-540-17371-7.

Car70

G. F. Carrier. Singular Perturbation Theory and Geophysics. SIAM Review, 12(2):175–193, April 1970. doi:10.1137/1012041.

CK12

E. Ward Cheney and David R. Kincaid. Numerical Mathematics and Computing. Cengage Learning, May 2012. ISBN 978-1-133-10371-4.

Coh94

A.M. Cohen. Is the polynomial so perfidious? Numerische Mathematik, 68(2):225–238, July 1994. doi:10.1007/s002110050058.

CSV09

Andrew R. Conn, Katya Scheinberg, and Luis N. Vicente. Introduction to Derivative-Free Optimization. SIAM, April 2009. ISBN 978-0-89871-668-9.

CT65

James W. Cooley and John W. Tukey. An algorithm for the machine calculation of complex Fourier series. Mathematics of Computation, 19(90):297–301, 1965. doi:10.1090/S0025-5718-1965-0178586-1.

CF13

Robert M. Corless and Nicolas Fillion. A Graduate Introduction to Numerical Methods: From the Viewpoint of Backward Error Analysis. Springer Science & Business Media, December 2013. ISBN 978-1-4614-8453-0.

Dav63

Philip J. Davis. Interpolation and Approximation. Blaisdell Publishing Company, 1963. ISBN 978-0486624952.

DR14

Philip J. Davis and Philip Rabinowitz. Methods of Numerical Integration. Academic Press, May 2014. ISBN 978-1-4832-6428-8.

For98

Bengt Fornberg. A Practical Guide to Pseudospectral Methods. Cambridge University Press, October 1998. ISBN 978-0-521-64564-5.

GOLeary89

Gene H. Golub and Dianne P. O'Leary. Some History of the Conjugate Gradient and Lanczos Algorithms: 1948–1976. SIAM Review, 31(1):50–102, March 1989. doi:10.1137/1031003.

GVL96

Gene H. Golub and Charles F. Van Loan. Matrix Computations. JHU Press, 3rd edition, October 1996. ISBN 978-0-8018-5414-9.

Hab98

Richard Haberman. Elementary Applied Partial Differential Equations: With Fourier Series and Boundary Value Problems. Prentice Hall, 1998. ISBN 978-0-13-263807-4.

Hah95

Gerald J. Hahn. A Conversation with Donald Marquardt. Statistical Science, 10(4):377–393, November 1995. doi:10.1214/ss/1177009871.

HNorsettW08

Ernst Hairer, Syvert P. Nørsett, and Gerhard Wanner. Solving Ordinary Differential Equations I: Nonstiff Problems. Springer Science & Business Media, April 2008. ISBN 978-3-540-56670-0.

HPS13

Per Christian Hansen, V. Pereyra, and Godela Scherer. Least Squares Data Fitting with Applications. JHU Press, January 2013. ISBN 978-1-4214-0786-9.

HS52

M.R. Hestenes and E. Stiefel. Methods of conjugate gradients for solving linear systems. Journal of Research of the National Bureau of Standards, 49(6):409, December 1952. doi:10.6028/jres.049.044.

Hig02

Nicholas J. Higham. Accuracy and Stability of Numerical Algorithms: Second Edition. SIAM, January 2002. ISBN 978-0-89871-802-7.

Ise96

Arieh Iserles. A First Course in the Numerical Analysis of Differential Equations. Cambridge University Press, January 1996. ISBN 978-0-521-55655-2.

Jol02

I. T. Jolliffe. Principal Component Analysis. Springer Science & Business Media, second edition, October 2002. ISBN 978-0-387-95442-4.

Kel95

C. T. Kelley. Iterative Methods for Linear and Nonlinear Equations. SIAM, January 1995. ISBN 978-0-89871-352-7.

KMW27

William Ogilvy Kermack, A. G. McKendrick, and Gilbert Thomas Walker. A contribution to the mathematical theory of epidemics. Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, 115(772):700–721, August 1927. doi:10.1098/rspa.1927.0118.

Lay12

David C. Lay. Linear Algebra and Its Applications. Addison-Wesley, Boston, 4th ed edition, 2012. ISBN 978-0-321-38517-8.

Leo06

Steven J. Leon. Linear Algebra with Applications. Pearson Prentice Hall, 2006. ISBN 978-0-13-185785-8.

Lev44

Kenneth Levenberg. A method for the solution of certain non-linear problems in least squares. Quarterly of Applied Mathematics, 2(2):164–168, 1944. doi:10.1090/qam/10666.

LeV92

Randall J. LeVeque. Numerical Methods for Conservation Laws. Springer Science & Business Media, 1992. ISBN 978-3-7643-2723-1.

LeV02

Randall J. LeVeque. Finite Volume Methods for Hyperbolic Problems. Cambridge University Press, August 2002. ISBN 978-0-521-00924-9.

LeV07

Randall J. LeVeque. Finite Difference Methods for Ordinary and Partial Differential Equations: Steady-State and Time-Dependent Problems. SIAM, September 2007. ISBN 978-0-89871-629-0.

Mar63

Donald W. Marquardt. An Algorithm for Least-Squares Estimation of Nonlinear Parameters. Journal of the Society for Industrial and Applied Mathematics, 11(2):431–441, June 1963. doi:10.1137/0111030.

MS99

Douglas B. Meade and A. A. Struthers. Differential equations in the new millennium: The parachute problem. International Journal of Engineering Education, 15(6):417–424, 1999.

Mol10

Cleve B. Moler. Numerical Computing with MATLAB: Revised Reprint. SIAM, August 2010. ISBN 978-0-89871-660-3.

MM05

K. W. Morton and D. F. Mayers. Numerical Solution of Partial Differential Equations: An Introduction. Cambridge University Press, second edition, April 2005. ISBN 978-1-139-44320-3.

Nas90

Stephen Nash. A History of Scientific Computing. Addison-Wesley Publishing Company, 1990. ISBN 978-0-201-50814-7.

NBL+81

R. Newton, L. J. Broughton, M. J. Lind, P. J. Morrison, H. J. Rogers, and I. D. Bradbrook. Plasma and salivary pharmacokinetics of caffeine in man. European Journal of Clinical Pharmacology, 21(1):45–52, January 1981. doi:10.1007/BF00609587.

OHLM03

J. R. Ockendon, Sam Howison, Andrew Lacey, and Alexander Movchan. Applied Partial Differential Equations. Oxford University Press, 2003. ISBN 978-0-19-852771-8.

OLBC10

Frank W. J. Olver, Daniel W. Lozier, Ronald F. Boisvert, and Charles W. Clark. NIST Handbook of Mathematical Functions Hardback and CD-ROM. Cambridge University Press, May 2010. ISBN 978-0-521-19225-5.

OR14

J. M. Ortega and W. C. Rheinboldt. Iterative Solution of Nonlinear Equations in Several Variables. Elsevier, May 2014. ISBN 978-1-4832-7672-4.

Par80

Beresford N. Parlett. The Symmetric Eigenvalue Problem. SIAM, January 1980. ISBN 978-0-89871-402-9.

PD06

John A. Pelesko and Tobin A. Driscoll. The effect of the small-aspect-ratio approximation on canonical electrostatic MEMS models. Journal of Engineering Mathematics, 53(3-4):239–252, January 2006. doi:10.1007/s10665-005-9013-2.

QSS07

Alfio Quarteroni, Riccardo Sacco, and Fausto Saleri. Numerical Mathematics. Springer, January 2007. ISBN 978-0-387-22750-4.

Roa98

Patrick J. Roache. Fundamentals of Computational Fluid Dynamics. Hermosa Publishers, 1998. ISBN 978-0-913478-09-7.

Saa03

Yousef Saad. Iterative Methods for Sparse Linear Systems: Second Edition. SIAM, January 2003. ISBN 978-0-89871-800-3.

SR97

Lawrence F. Shampine and Mark W. Reichelt. The MATLAB ODE Suite. SIAM Journal on Scientific Computing, 18(1):1–22, January 1997. doi:10.1137/S1064827594276424.

Smi85

Gordon D. Smith. Numerical Solution of Partial Differential Equations: Finite Difference Methods. Clarendon Press, 3rd edition, 1985. ISBN 978-0-19-859650-9.

Ste01

G. W. Stewart. Matrix Algorithms Volume 2: Eigensystems. SIAM, August 2001. ISBN 978-0-89871-503-3.

Str07

Gilbert Strang. Computational Science and Engineering. Wellesley-Cambridge Press, November 2007. ISBN 978-0-9614088-1-7.

Str16

Gilbert Strang. Introduction to Linear Algebra. Wellesley-Cambridge Press, August 2016. ISBN 978-0-9802327-7-6.

SB97

Gilbert Strang and Kai Borre. Linear Algebra, Geodesy, and GPS. SIAM, January 1997. ISBN 978-0-9614088-6-2.

SF97

Gilbert Strang and George J. Fix. An Analysis of the Finite Element Method. Wellesley-Cambridge Press, 1997. ISBN 978-0-9614088-8-6.

TM73

Hidetosi Takahasi and Masatake Mori. Double Exponential Formulas for Numerical Integration. Publications of the Research Institute for Mathematical Sciences, 9(3):721–741, December 1973. doi:10.2977/prims/1195192451.

Teu01

P. J. G. Teunissen. Dynamic Data Processing: Recursive Least-Squares. Series on Mathematical Geodesy and Positioning. VSSD, Delft, the Netherlands, 2001. ISBN 9786610450640.

Tra09

J. A. Trangenstein. Numerical Solution of Hyperbolic Partial Differential Equations. Cambridge University Press, Cambridge ; New York, 2009. ISBN 978-0-521-87727-5.

Tre00

Lloyd N. Trefethen. Spectral Methods in MATLAB. SIAM, January 2000. ISBN 978-0-89871-959-8.

Tre08

Lloyd N. Trefethen. Is Gauss Quadrature Better than Clenshaw–Curtis? SIAM Review, 50(1):67–87, January 2008. doi:10.1137/060659831.

Tre13

Lloyd N. Trefethen. Approximation Theory and Approximation Practice. SIAM, January 2013. ISBN 978-1-61197-239-9.

TE05

Lloyd N. Trefethen and Mark Embree. Spectra and Pseudospectra: The Behavior of Nonnormal Matrices and Operators. Princeton University Press, August 2005. ISBN 978-0-691-11946-5.

TI97

Lloyd N. Trefethen and David Bau III. Numerical Linear Algebra. SIAM, June 1997. ISBN 978-0-89871-361-9.

VL00

Charles F. Van Loan. Introduction to Scientific Computing: A Matrix-Vector Approach Using MATLAB. The MATLAB Curriculum Series. Prentice Hall, Upper Saddle River, NJ, 2000. ISBN 978-0-13-949157-3.

Whi74

G. B. Whitham. Linear and Nonlinear Waves. John Wiley & Sons, 1974. ISBN 978-1-118-03120-9.

Wil84

J. H. Wilkinson. The perfidious polynomial. In Studies in Mathematics, volume 24, pages 1–28. Mathematical Association of America, 1984.

WBS+14

Ziwei Wu, Carolyn G. Begley, Ping Situ, Trefford Simpson, and Haixia Liu. The Effects of Mild Ocular Surface Stimulation and Concentration on Spontaneous Blink Parameters. Current Eye Research, 39(1):9–20, January 2014. doi:10.3109/02713683.2013.822896.

deBoor78

Carl de Boor. A Practical Guide to Splines. Springer-Verlag, 1978. ISBN 978-3-540-90356-7.

vandVorst03

H. A. van der Vorst. Iterative Krylov Methods for Large Linear Systems. Cambridge University Press, April 2003. ISBN 978-0-521-81828-5.